Harmonic Morphisms Between Riemannian Manifolds
DOWNLOAD
Download Harmonic Morphisms Between Riemannian Manifolds PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Harmonic Morphisms Between Riemannian Manifolds book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Harmonic Morphisms Between Riemannian Manifolds
DOWNLOAD
Author : Paul Baird
language : en
Publisher: Oxford University Press
Release Date : 2003
Harmonic Morphisms Between Riemannian Manifolds written by Paul Baird and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.
This is an account in book form of the theory of harmonic morphisms between Riemannian manifolds.
Harmonic Morphisms Between Riemannian Manifolds
DOWNLOAD
Author : Paul Baird
language : en
Publisher:
Release Date : 2003
Harmonic Morphisms Between Riemannian Manifolds written by Paul Baird and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Harmonic morphisms categories.
This is an account in book form of the theory of harmonic morphisms between Riemannian manifolds. Giving a complete account of the fundamental aspects of the subject, this book is self-contained, assuming only a basic knowledge of differential geometry.
Harmonic Morphisms Between Riemannian Manifolds
DOWNLOAD
Author :
language : en
Publisher:
Release Date : 1976
Harmonic Morphisms Between Riemannian Manifolds written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with categories.
Harmonic Morphisms Between Riemannian Manifolds
DOWNLOAD
Author : B. Fuglede
language : en
Publisher:
Release Date : 1976
Harmonic Morphisms Between Riemannian Manifolds written by B. Fuglede and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with categories.
Harmonic Morphisms Harmonic Maps And Related Topics
DOWNLOAD
Author : Christopher Kum Anand
language : en
Publisher: CRC Press
Release Date : 1999-10-13
Harmonic Morphisms Harmonic Maps And Related Topics written by Christopher Kum Anand and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-10-13 with Mathematics categories.
The subject of harmonic morphisms is relatively new but has attracted a huge worldwide following. Mathematicians, young researchers and distinguished experts came from all corners of the globe to the City of Brest - site of the first, international conference devoted to the fledgling but dynamic field of harmonic morphisms. Harmonic Morphisms, Harmonic Maps, and Related Topics reports the proceedings of that conference, forms the first work primarily devoted to harmonic morphisms, bringing together contributions from the founders of the subject, leading specialists, and experts in other related fields. Starting with "The Beginnings of Harmonic Morphisms," which provides the essential background, the first section includes papers on the stability of harmonic morphisms, global properties, harmonic polynomial morphisms, Bochner technique, f-structures, symplectic harmonic morphisms, and discrete harmonic morphisms. The second section addresses the wider domain of harmonic maps and contains some of the most recent results on harmonic maps and surfaces. The final section highlights the rapidly developing subject of constant mean curvature surfaces. Harmonic Morphisms, Harmonic Maps, and Related Topics offers a coherent, balanced account of this fast-growing subject that furnishes a vital reference for anyone working in the field.
Harmonic Morphisms Between Semi Riemannian Manifolds
DOWNLOAD
Author : Vijay K. Parmar
language : en
Publisher:
Release Date : 1991
Harmonic Morphisms Between Semi Riemannian Manifolds written by Vijay K. Parmar and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with categories.
Harmonic Maps With Symmetry Harmonic Morphisms And Deformations Of Metrics
DOWNLOAD
Author : Paul Baird
language : en
Publisher: Pitman Advanced Publishing Program
Release Date : 1983
Harmonic Maps With Symmetry Harmonic Morphisms And Deformations Of Metrics written by Paul Baird and has been published by Pitman Advanced Publishing Program this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with Mathematics categories.
"The aim of this book is to construct harmonic maps between Riemannian manifolds, and in particular between spheres. These maps have a delightful geometry associated with them - they preserve families of level hypersurfaces of constant mean curvature. New maps between Euclidean spheres are constructed, as well as harmonic maps from hyperbolic space to sphere and from Euclidean space to sphere. The author makes considerable use of the stress-energy tensor, which has not previously been used in the context of harmonic maps...In particular, it is used to solve the rendering problem for certain classes of maps between spheres." - back cover
Harmonic Maps And Differential Geometry
DOWNLOAD
Author : Eric Loubeau
language : en
Publisher: American Mathematical Soc.
Release Date : 2011
Harmonic Maps And Differential Geometry written by Eric Loubeau and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.
This volume contains the proceedings of a conference held in Cagliari, Italy, from September 7-10, 2009, to celebrate John C. Wood's 60th birthday. These papers reflect the many facets of the theory of harmonic maps and its links and connections with other topics in Differential and Riemannian Geometry. Two long reports, one on constant mean curvature surfaces by F. Pedit and the other on the construction of harmonic maps by J. C. Wood, open the proceedings. These are followed by a mix of surveys on Prof. Wood's area of expertise: Lagrangian surfaces, biharmonic maps, locally conformally Kahler manifolds and the DDVV conjecture, as well as several research papers on harmonic maps. Other research papers in the volume are devoted to Willmore surfaces, Goldstein-Pedrich flows, contact pairs, prescribed Ricci curvature, conformal fibrations, the Fadeev-Hopf model, the Compact Support Principle and the curvature of surfaces.
Developments Of Harmonic Maps Wave Maps And Yang Mills Fields Into Biharmonic Maps Biwave Maps And Bi Yang Mills Fields
DOWNLOAD
Author : Yuan-Jen Chiang
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-18
Developments Of Harmonic Maps Wave Maps And Yang Mills Fields Into Biharmonic Maps Biwave Maps And Bi Yang Mills Fields written by Yuan-Jen Chiang and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-18 with Mathematics categories.
Harmonic maps between Riemannian manifolds were first established by James Eells and Joseph H. Sampson in 1964. Wave maps are harmonic maps on Minkowski spaces and have been studied since the 1990s. Yang-Mills fields, the critical points of Yang-Mills functionals of connections whose curvature tensors are harmonic, were explored by a few physicists in the 1950s, and biharmonic maps (generalizing harmonic maps) were introduced by Guoying Jiang in 1986. The book presents an overview of the important developments made in these fields since they first came up. Furthermore, it introduces biwave maps (generalizing wave maps) which were first studied by the author in 2009, and bi-Yang-Mills fields (generalizing Yang-Mills fields) first investigated by Toshiyuki Ichiyama, Jun-Ichi Inoguchi and Hajime Urakawa in 2008. Other topics discussed are exponential harmonic maps, exponential wave maps and exponential Yang-Mills fields.
Spectral Geometry Riemannian Submersions And The Gromov Lawson Conjecture
DOWNLOAD
Author : Peter B. Gilkey
language : en
Publisher: Taylor & Francis
Release Date : 2024-12-15
Spectral Geometry Riemannian Submersions And The Gromov Lawson Conjecture written by Peter B. Gilkey and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-12-15 with Mathematics categories.
This cutting-edge, standard-setting text explores the spectral geometry of Riemannian submersions. Working for the most part with the form valued Laplacian in the class of smooth compact manifolds without boundary, the authors study the relationship-if any-between the spectrum of Dp on Y and Dp on Z, given that Dp is the p form valued Laplacian and pi: Z (R) Y is a Riemannian submersion. After providing the necessary background, including basic differential geometry and a discussion of Laplace type operators, the authors address rigidity theorems. They establish conditions that ensure that the pull back of every eigenform on Y is an eigenform on Z so the eigenvalues do not change, then show that if a single eigensection is preserved, the eigenvalues do not change for the scalar or Bochner Laplacians. For the form valued Laplacian, they show that if an eigenform is preserved, then the corresponding eigenvalue can only increase. They generalize these results to the complex setting as well. However, the spinor setting is quite different. For a manifold with non-trivial boundary and imposed Neumann boundary conditions, the result is surprising-the eigenvalues can change. Although this is a relatively rare phenomenon, the authors give examples-a circle bundle or, more generally, a principal bundle with structure group G where the first cohomology group H1(G;R) is non trivial. They show similar results in the complex setting, show that eigenvalues can decrease in the spinor setting, and offer a list of unsolved problems in this area. Moving to some related topics involving questions of positive curvature, for the first time in mathematical literature the authors establish a link between the spectral geometry of Riemannian submersions and the Gromov-Lawson conjecture. Spectral Geometry, Riemannian Submersions, and the Gromov-Lawson Conjecture addresses a hot research area and promises to set a standard for the field. Researchers and applied mathematicians interested in mathematical physics and relativity will find this work both fascinating and important.